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#1 2009-03-09 03:34:37

ganesh
Moderator
Registered: 2005-06-28
Posts: 13,264

Differential Calculus - III

1. If x = a cos θ, y = b sin θ, find

.

2. If x = a(t - sin t), y = a(1 - cos t), find

.

3. If

, find
.

4. Differentiate

with respect to x[sup]2[/sup].

5. Differentiate


with respect to
.

6. Differentiate


with respect to
.

7. Find

if

(i)

(ii)

.

8. If y = a cos 5x + b sin 5x, show that

.

9. If y = a cos(log x) + b sin (log x), show that

.

10. If

,
show that
.


Character is who you are when no one is looking.

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